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• W4321613695 abstract "In this paper we analyze a fully discrete scheme for a general Cahn–Hilliard equation coupled with a nonsteady Magneto-hydrodynamics flow, which describes two immiscible, incompressible and electrically conducting fluids with different mobilities, fluid viscosities and magnetic diffusivities. A typical fully discrete scheme, which is comprised of conforming finite element method and the Euler semi-implicit discretization based on a convex splitting of the energy of the equation is considered in detail. We prove that our scheme is unconditionally energy stable and obtain some optimal error estimates for the concentration field, the chemical potential, the velocity field, the magnetic field and the pressure. The results of numerical tests are presented to validate the rates of convergence." @default.
• W4321613695 created "2023-02-24" @default.
• W4321613695 creator A5038122134 @default.
• W4321613695 date "2023-02-20" @default.
• W4321613695 modified "2023-10-18" @default.
• W4321613695 title "Error Analysis of Fully Discrete Scheme for the Cahn–Hilliard–Magneto-Hydrodynamics Problem" @default.
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• W4321613695 doi "https://doi.org/10.1007/s10915-023-02147-z" @default.
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